p-adic diophantine approximation - MathOverflow most recent 30 from http://mathoverflow.net2013-05-23T23:13:12Zhttp://mathoverflow.net/feeds/question/95957http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/95957/p-adic-diophantine-approximationp-adic diophantine approximationKale2012-05-04T05:31:27Z2012-05-04T13:38:04Z
<p>Suppose you have a sequence of rational numbers that gives a diophantine approximaion an irrational, what can be said p-adically about this sequence?</p>
<p>I'm interested in the p-adic analoges of these theorems (such as Thue-siegel-roth), but can't find any straightforward resources on the subject. I can't even find what a good diophantine approximation would mean over a p-adic field.</p>
http://mathoverflow.net/questions/95957/p-adic-diophantine-approximation/95984#95984Answer by Anatoly Kochubei for p-adic diophantine approximationAnatoly Kochubei2012-05-04T13:38:04Z2012-05-04T13:38:04Z<p>The paper by Schlickewei mentioned in the comment is available here:</p>
<p><a href="http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN365956996_0018&DMDID=DMDLOG_0012" rel="nofollow">http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN365956996_0018&DMDID=DMDLOG_0012</a></p>
<p>In general, many old mathematical papers can be obtained free of charge via the site</p>
<p><a href="http://www.emani.org/" rel="nofollow">http://www.emani.org/</a></p>
<p>Often these papers cannot be found by standard search englines.</p>